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Finding the Fourth Proportional to 311.46, 466.02 and 219.71

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Solution

The fourth proportional to 311.46, 466.02 and 219.71 is: 328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.46 : 466.02 = 219.71 : x
  2. Step 2: Convert to fraction form
    311.46/466.02 = 219.71/x
  3. Step 3: Cross multiply
    311.46x = 466.02 × 219.71
  4. Step 4: Simplify right side
    311.46x = 102,386.92
  5. Step 5: Solve for x
    x = 102,386.92/311.46
  6. Step 6: Final answer
    x = 328.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.